Information Gaps as Communication Needs: A New SemanticFoundation for Some Non-Classical Logics

  • Authors:
  • Piero Pagliani

  • Affiliations:
  • Research Group on Knowledge and Communication Models, Via Imperia, 6, 00161 Roma, Italy

  • Venue:
  • Journal of Logic, Language and Information
  • Year:
  • 1997

Quantified Score

Hi-index 0.00

Visualization

Abstract

Semantics connected to some information based metaphor are well-known in logic literature: a paradigmatic example is Kripke semantic for Intuitionistic Logic. In this paper we start from the concrete problem of providing suitable logic-algebraic models for the calculus of attribute dependencies in Formal Contexts with information gaps and we obtain an intuitive model based on the notion of ’’passage of information‘‘ showing that Kleene algebras, semi-simple Nelson algebras, three-valued Łukasiewicz algebras and Post algebras of order three are, in a sense, ’’naturally‘‘ and directly connected to partially defined information systems. In this way wecan provide for these logic-algebraic structures a ’’raison d‘êetre‘‘ different from the original motivations concerning, for instance, computability theory.